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Finding the Fourth Proportional to 496.09, 744.47 and 331.75

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Solution

The fourth proportional to 496.09, 744.47 and 331.75 is: 497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.09 : 744.47 = 331.75 : x
  2. Step 2: Convert to fraction form
    496.09/744.47 = 331.75/x
  3. Step 3: Cross multiply
    496.09x = 744.47 × 331.75
  4. Step 4: Simplify right side
    496.09x = 246,976.12
  5. Step 5: Solve for x
    x = 246,976.12/496.09
  6. Step 6: Final answer
    x = 497.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.